Dr. Albrecht Seelmann
| Name |
Dr. Albrecht Seelmann |
| Address |
TU Dortmund
Fakultät für Mathematik
Lehrstuhl LSIX
Vogelpothsweg 87
44227 Dortmund
|
| Room |
M 624 |
| Telephone |
(0231) 755-3432
(0231) 755-3063 (secretariat)
|
| Telefax |
(0231) 755-5219 |
| E-mail |
albrecht.seelmann[at]math.tu-dortmund.de |
Research
Research interests
- Spectral theory
- Perturbation theory for linear operators
- Block diagonalization for operator matrices
- Operator Riccati equations
- Control theory for partial differential equations
Peer-reviewed articles
- Sturm-Liouville problems and global bounds by small control sets and applications to quantum graphs. Michela Egidi, Delio Mugnolo, Albrecht Seelmann (2024). In: Journal of Mathematical Analysis and Applications, Volume 535, Issue 1, pp. 128101. [DOI] [arXiv]
- A unified observability result for non-autonomous observation problems. Fabian Gabel, Albrecht Seelmann (2024). In: Archiv der Mathematik, Volume 122, Issue 2, pp. 227–239. [DOI] [arXiv]
- Spectral inequality with sensor sets of decaying density for Schrödinger operators with power growth potentials. Alexander Dicke, Albrecht Seelmann, Ivan Veselić (2024). In: Partial Differential Equations and Applications, Volume 5, Issue 7, pp. 1–18. [DOI] [arXiv]
- Control problem for quadratic parabolic differential equations with sensor sets of finite volume or anisotropically decaying density. Alexander Dicke, Albrecht Seelmann, Ivan Veselić (2023). In: ESAIM. Control, Optimisation and Calculus of Variations, Volume 29, Issue 80, pp. 35. [DOI] [arXiv]
- Quantitative unique continuation for spectral subspaces of Schrödinger operators with singular potentials. Alexander Dicke, Christian Rose, Albrecht Seelmann, Martin Tautenhahn (2023). In: Journal of Differential Equations, Volume 369, pp. 405–423. [DOI] [arXiv]
- Uncertainty principle for Hermite functions and null-controllability with sensor sets of decaying density. Alexander Dicke, Albrecht Seelmann, Ivan Veselić (2023). In: Journal of Fourier Analysis and Applications, Volume 29, Issue 1, pp. 11. [DOI] [arXiv]
- Uncertainty principles with error term in Gelfand-Shilov spaces. Alexander Dicke, Albrecht Seelmann (2022). In: Archiv der Mathematik, Volume 119, Issue 4, pp. 413–425. [DOI] [arXiv]
- The reflection principle in the control problem of the heat equation. Michela Egidi, Albrecht Seelmann (2022). In: Journal of Dynamical and Control Systems, Volume 28, Issue 3, pp. 635–655. [DOI] [arXiv]
- On a minimax principle in spectral gaps. Albrecht Seelmann (2022). In: Complex Analysis and Operator Theory, Volume 16, Issue 3, pp. 29. [DOI] [arXiv]
- Unifying the treatment of indefinite and semidefinite perturbations in the subspace perturbation problem. Albrecht Seelmann (2021). In: Operators and Matrices, Volume 15, Issue 3, pp. 1181–1188. [DOI] [arXiv]
- Protecting points from operator pencils. Albrecht Seelmann, Matthias Täufer, Krešimir Veselić (2021). In: Journal of Operator Theory, Volume 85, Issue 2, pp. 383–389. [DOI] [arXiv]
- An abstract Logvinenko-Sereda type theorem for spectral subspaces. Michela Egidi, Albrecht Seelmann (2021). In: Journal of Mathematical Analysis and Applications, Volume 500, Issue 1, pp. 125149. [DOI] [arXiv]
- The Laplacian on Cartesian products with mixed boundary conditions. Albrecht Seelmann (2021). In: Archiv der Mathematik, Volume 117, Issue 1, pp. 87–94. [DOI] [arXiv]
- A minimax principle in spectral gaps. Albrecht Seelmann (2020). Appendix to Unique continuation and lifting of spectral band edges of Schrödinger operators on unbounded domains by Ivica Nakić, Matthias Täufer, Martin Tautenhahn and Ivan Veselić. In: Journal of Spectral Theory, Volume 10, Issue 3, pp. 843–885. [DOI] [arXiv]
- Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains. Michela Egidi, Ivica Nakić, Albrecht Seelmann, Matthias Täufer, Martin Tautenhahn, Ivan Veselić (2020). In: Control Theory of Infinite-Dimensional Systems, pp. 117–157. Birkhäuser, Cham. [DOI] [arXiv]
- Exhaustion approximation for the control problem of the heat or Schrödinger semigroup on unbounded domains. Albrecht Seelmann, Ivan Veselić (2020). In: Archiv der Mathematik, Volume 115, Issue 2, pp. 195–213. [DOI] [arXiv]
- Band edge localization beyond regular Floquet eigenvalues. Albrecht Seelmann, Matthias Täufer (2020). In: Annales Henri Poincaré, Volume 21, Issue 7, pp. 2151–2166. [DOI] [arXiv]
- Semidefinite perturbations in the subspace perturbation problem. Albrecht Seelmann (2019). In: Journal of Operator Theory, Volume 81, Issue 2, pp. 321–333. [DOI] [arXiv]
- On an estimate in the subspace perturbation problem. Albrecht Seelmann (2018). In: Journal d'Analyse Mathématique, Volume 135, Issue 1, pp. 313–343. [DOI] [arXiv]
- Notes on the subspace perturbation problem for off-diagonal perturbations. Albrecht Seelmann (2016). In: Proceedings of the American Mathematical Society, Volume 144, Issue 9, pp. 3825–3832. [DOI] [arXiv]
- On invariant graph subspaces. Konstantin A. Makarov, Stephan Schmitz, Albrecht Seelmann (2016). In: Integral Equations and Operator Theory, Volume 85, Issue 3, pp. 399–425. [DOI] [arXiv]
- The length metric on the set of orthogonal projections and new estimates in the subspace perturbation problem. Konstantin A. Makarov, Albrecht Seelmann (2015). In: Journal für die Reine und Angewandte Mathematik. [Crelle's Journal], Volume 708, pp. 1–15. [DOI]
- Notes on the $\sin 2\Theta$ theorem. Albrecht Seelmann (2014). In: Integral Equations and Operator Theory, Volume 79, Issue 4, pp. 579–597. [DOI] [arXiv]
Preprints
- Unique continuation estimates for Baouendi--Grushin equations on cylinders. Paul Alphonse, Albrecht Seelmann (2024). [arXiv]
- Relative residual bounds for eigenvalues in gaps of the essential spectrum. Albrecht Seelmann (2023). [arXiv]
- Quantitative spectral inequalities for the anisotropic Shubin operators and applications to null-controllability. Paul Alphonse, Albrecht Seelmann (2022). [arXiv]
- Metric properties of the set of orthogonal projections and their applications to operator perturbation theory. Konstantin A. Makarov, Albrecht Seelmann (2010). [arXiv]
Theses
- Perturbation theory for spectral subspaces. Albrecht Seelmann (2014). PhD thesis, Johannes Gutenberg-Universität Mainz. [DOI]
- Quanten-Kodierungstheorie und kodierte Operationen am Beispiel der Quanten-Fouriertransformation. Albrecht Seelmann (2008). Diploma thesis, Johannes Gutenberg-Universität Mainz.
Talks
- The reflection principle in the control problem of the heat equation. 6th Najman Conference on Spectral Theory and Differential Equations, Sveti Martin na Muri, Croatia, September 8–13.
- The reflection principle in the control problem of the heat equation. International Conference on Elliptic and Parabolic Problems, Minisymposium Control of Partial Differential Equations, Gaeta, Italy, May 20–24.
- Lokalisierung an Bandkanten für nicht-ergodische zufällige Schrödingeroperatoren. Oberseminar Analysis, Mathematische Physik & Dynamische Systeme, TU Dortmund, May 14.
- A critical example in the subspace perturbation problem. Aspect 17: Asymptotic Analysis and Spectral Theory, Trier, September 25–29.
- On the subspace perturbation problem. 5th Najman Conference on Spectral Theory and Differential Equations, Opatija, Croatia, September 10–15.
- Invariant graph subspaces and block diagonalization. Oberseminar Angewandte Analysis und Mathematische Physik, LMU München, July 26.
- Invariant graph subspaces and block diagonalization. Oberseminar Analysis, Mathematische Physik & Dynamische Systeme, TU Dortmund, January 17.
- On the subspace perturbation problem. Functional Analysis, Operator Theory and Applications, Workshop on the Occasion of the 90th Birthday of Professor Heinz Günther Tillmann, Mainz, October 23–25.
Teaching
- Winter term 23/24: Organisation and exercise class for Funktionalanalysis II
- Summer term 2023: Organisation and exercise class for Funktionalanalysis
- Winter term 22/23: Organisation and exercise class for Analysis III für Lehramt (for future teachers)
- Summer term 2022: Organisation and exercise class for Analysis II für Lehramt (for future teachers)
- Winter term 21/22: Exercise classes for Analysis I für Lehramt (for future teachers)
- Winter term 20/21: Studienvorkurs Mathematik für Natur- und Ingenieurwissenschaften I (für Studiengänge der Chemie, E-Technik, Informatik, Physik) and Proseminar Lineare Algebra I/II: Elementargeometrie (LA Gym)
- Summer term 2020: Organisation and exercise class for Störungstheorie Linearer Operatoren
- Winter term 19/20: Proseminar Analysis (for future teachers)
- Summer term 2019: Lecture course Matrixanalysis
- Winter term 18/19: Organisation and exercise classes for Analysis III
- Summer term 2018: Organisation, exercise class, and global exercise class for Analysis II
- Winter term 17/18: Organisation and global exercise class for Analysis I and lecture course Fourier Analysis (Part II) with accompanying exercise class
- Summer term 2017: Lecture course Fourier Analysis (Part I) with accompanying exercise class
- Winter term 16/17 (JGU Mainz): Organisation and exercise classes for Mathematics for Physicists IIb
- Summer term 2016 (JGU Mainz): Exercise classes for Analysis III and Functional Analysis I
- Winter term 15/16 (JGU Mainz): Organisation and exercise classes for Mathematics for Physicists IIb
- Summer term 2015 (JGU Mainz): Lecture course Fourier Analysis and exercise class for Analysis II
- Winter term 14/15 (JGU Mainz): Exercise class for Analysis II
- Summer term 2014 (JGU Mainz): Exercise class for Functional Analysis I
- Summer term 2013 (JGU Mainz): Organisation and exercise class for Functional Analysis I
- Winter term 12/13 (JGU Mainz): Organisation and exercise class for Partial Differential Equations I
- Winter term 11/12 (JGU Mainz): Organisation and exercise class for Partial Differential Equations I
- Summer term 2011 (JGU Mainz): Organisation and exercise class for Mathematics for Physicists IIa
- Summer term 2010 (JGU Mainz): Organisation and exercise class for Functional Analysis I
- Winter term 09/10 (JGU Mainz): Organisation and exercise class for Analysis in Several Variables
- Summer term 2009 (JGU Mainz): Organisation and tutorial class for Mathematics for Physicists I
- Winter term 08/09 (JGU Mainz): Exercise class for Partial Differential Equations I
Short CV
- Research assistant at the TU Dortmund since 2017
- PhD 2014 at the Johannes Gutenberg University Mainz
- Research assistant at the Johannes Gutenberg University Mainz 2008–2017
- Diploma 2008 at the Johannes Gutenberg University Mainz
Kontakt
Adresse
TU Dortmund
Fakultät für Mathematik
Lehrstuhl IX
Vogelpothsweg 87
44227 Dortmund
Sie finden uns auf dem sechsten Stock des Mathetowers.
Sekretariat
Janine Textor (Raum M 620)
Tel.: (0231) 755-3063
Fax: (0231) 755-5219
Mail: janine.textor@tu-dortmund.de
Bürozeiten:
Di. und Do. von 8 bis 12 Uhr
Home Office:
Mo. und Fr. von 8 bis 12 Uhr
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